8100364680 has 192 divisors, whose sum is σ = 28836615600. Its totient is φ = 1962885120.

The previous prime is 8100364667. The next prime is 8100364681. The reversal of 8100364680 is 864630018.

It is a happy number.

8100364680 is a `hidden beast` number, since 8 + 1 + 0 + 0 + 3 + 646 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4635158724 + 3465205956 = 68082^2 + 58866^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8100364681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154660 + ... + 200300.

Almost surely, 2^8100364680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418307800).

8100364680 is an abundant number, since it is smaller than the sum of its proper divisors (20736250920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8100364680 is a wasteful number, since it uses less digits than its factorization.

8100364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45704 (or 45697 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8100364680 is about 90002.0259771968. The cubic root of 8100364680 is about 2008.3289891532.

Adding to 8100364680 its reverse (864630018), we get a palindrome (8964994698).

The spelling of 8100364680 in words is "eight billion, one hundred million, three hundred sixty-four thousand, six hundred eighty".